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Finding the Fourth Proportional to 12,032.52, 18,044.17 and 4,133.57

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Solution

The fourth proportional to 12,032.52, 18,044.17 and 4,133.57 is: 6,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.52 : 18,044.17 = 4,133.57 : x
  2. Step 2: Convert to fraction form
    12,032.52/18,044.17 = 4,133.57/x
  3. Step 3: Cross multiply
    12,032.52x = 18,044.17 × 4,133.57
  4. Step 4: Simplify right side
    12,032.52x = 74,586,739.23
  5. Step 5: Solve for x
    x = 74,586,739.23/12,032.52
  6. Step 6: Final answer
    x = 6,198.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.